結果
| 問題 |
No.2764 Warp Drive Spacecraft
|
| コンテスト | |
| ユーザー |
 dyktr_06
|
| 提出日時 | 2024-05-18 01:20:28 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 551 ms / 3,000 ms |
| コード長 | 8,628 bytes |
| コンパイル時間 | 2,417 ms |
| コンパイル使用メモリ | 217,252 KB |
| 最終ジャッジ日時 | 2025-02-21 15:36:38 |
|
ジャッジサーバーID （参考情報） |
judge2 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 4 |
| other | AC * 35 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(n) for(int i = 0; i < (int)(n); ++i)
#define rep2(i, n) for(int i = 0; i < (int)(n); ++i)
#define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i)
#define ALL(a) (a).begin(), (a).end()
#define Sort(a) (sort((a).begin(), (a).end()))
#define RSort(a) (sort((a).rbegin(), (a).rend()))
#define UNIQUE(a) (a.erase(unique((a).begin(), (a).end()), (a).end()))
typedef long long int ll;
typedef unsigned long long ul;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef vector<long double> vld;
typedef pair<long long, long long> P;
template<class T> long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); }
template<class T> auto min(const T& a){ return *min_element(a.begin(), a.end()); }
template<class T> auto max(const T& a){ return *max_element(a.begin(), a.end()); }
const long long MINF = 0x7fffffffffff;
const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const long double EPS = 1e-9;
const long double PI = acos(-1);
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<typename T1, typename T2> istream &operator>>(istream &is, pair<T1, T2> &p){ is >> p.first >> p.second; return is; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){ os << "(" << p.first << ", " << p.second << ")"; return os; }
template<typename T> istream &operator>>(istream &is, vector<T> &v){ for(T &in : v) is >> in; return is; }
template<typename T> ostream &operator<<(ostream &os, const vector<T> &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; }
template <typename T, typename S> ostream &operator<<(ostream &os, const map<T, S> &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; }
template <typename T> ostream &operator<<(ostream &os, queue<T> q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; }
template <typename T> ostream &operator<<(ostream &os, deque<T> q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; }
template <typename T> ostream &operator<<(ostream &os, stack<T> st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; }
template <class T, class Container, class Compare> ostream &operator<<(ostream &os, priority_queue<T, Container, Compare> pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; }
template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }
template<class... T> void in(T&... a){ (cin >> ... >> a); }
void out(){ cout << '\n'; }
template<class T, class... Ts> void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T, class U> void inGraph(vector<vector<T>>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } }
template<typename T, T x_low, T x_high, T id>
struct DynamicLiChaoTree{
struct Line{
T a, b;
Line(T _a, T _b) : a(_a), b(_b) {}
inline T get(T x) const {
return a * x + b;
}
};
struct Node{
Line x;
Node *l, *r;
Node(const Line &x) : x{x}, l{nullptr}, r{nullptr} {}
};
Node *root = nullptr;
DynamicLiChaoTree() {}
private:
Node *add_line_(Node *t, Line &x, const T &l, const T &r, const T &x_l, const T &x_r){
if(!t){
return new Node(x);
}
T t_l = t->x.get(l), t_r = t->x.get(r);
if(t_l <= x_l && t_r <= x_r){
return t;
} else if(t_l >= x_l && t_r >= x_r){
t->x = x;
return t;
} else{
T m = (l + r) / 2;
if(m == r) --m;
T t_m = t->x.get(m), x_m = x.get(m);
if(t_m > x_m){
swap(t->x, x);
if(t_l <= x_l){
t->l = add_line_(t->l, x, l, m, t_l, t_m);
} else{
t->r = add_line_(t->r, x, m + 1, r, t_m + x.a, t_r);
}
} else{
if(x_l <= t_l){
t->l = add_line_(t->l, x, l, m, x_l, x_m);
} else{
t->r = add_line_(t->r, x, m + 1, r, x_m + x.a, x_r);
}
}
return t;
}
}
Node *add_segment_(Node *t, Line &x, const T &a, const T &b, const T &l, const T &r, const T &x_l, const T &x_r){
if(r < a || b < l) return t;
if(a <= l && r <= b){
Line y{x};
return add_line_(t, y, l, r, x_l, x_r);
}
if(t){
T t_l = t->x.get(l), t_r = t->x.get(r);
if(t_l <= x_l && t_r <= x_r) return t;
} else{
t = new Node(Line(0, id));
}
T m = (l + r) / 2;
if(m == r) --m;
T x_m = x.get(m);
t->l = add_segment_(t->l, x, a, b, l, m, x_l, x_m);
t->r = add_segment_(t->r, x, a, b, m + 1, r, x_m + x.a, x_r);
return t;
}
T query_(const Node *t, const T &l, const T &r, const T &x_c) const {
if(!t) return id;
if(l == r) return t->x.get(x_c);
T m = (l + r) / 2;
if(m == r) --m;
if(x_c <= m){
return min(t->x.get(x_c), query_(t->l, l, m, x_c));
} else{
return min(t->x.get(x_c), query_(t->r, m + 1, r, x_c));
}
}
public:
void add_line(const T &a, const T &b){
Line x(a, b);
root = add_line_(root, x, x_low, x_high, x.get(x_low), x.get(x_high));
}
void add_segment(const T &l, const T &r, const T &a, const T &b){
Line x(a, b);
root = add_segment_(root, x, l, r - 1, x_low, x_high, x.get(x_low), x.get(x_high));
}
T query(const T &x) const {
return query_(root, x_low, x_high, x);
}
};
void input(){
}
void solve(){
ll n, m; in(n, m);
vll w; vin(w, n);
vector<vector<array<ll, 2>>> G(n * 2);
rep(i, m){
ll u, v, t; in(u, v, t);
u--, v--;
G[u].push_back({v, t});
G[u + n].push_back({v + n, t});
G[v].push_back({u, t});
G[v + n].push_back({u + n, t});
}
vector<P> p(n);
rep(i, n) p[i] = {w[i], i};
Sort(p);
DynamicLiChaoTree<ll, -2000000000LL, 2000000000LL, INF> lct;
vll cost(n * 2, INF);
cost[0] = 0;
priority_queue<P, vector<P>, greater<P>> pq;
pq.push({0, 0});
ll curr = 0;
while(pq.size() || curr < n){
if(pq.empty()){
auto [wi, idx] = p[curr];
idx += n;
if(chmin(cost[idx], lct.query(wi))){
pq.emplace(cost[idx], idx);
}
curr++;
continue;
}
auto [c, v] = pq.top();
if(curr < n){
auto [wi, idx] = p[curr];
idx += n;
ll c2 = lct.query(wi);
if(c2 <= c){
curr++;
if(chmin(cost[idx], c2)){
pq.emplace(cost[idx], idx);
continue;
}
}
}
pq.pop();
if(v < n) lct.add_line(w[v], cost[v]);
if(cost[v] < c) continue;
for(auto [nv, t] : G[v]){
if(chmin(cost[nv], c + t)){
pq.push({cost[nv], nv});
}
}
}
out(min(cost[n - 1], cost[n * 2 - 1]));
}
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout << fixed << setprecision(20);
input();
solve();
}